AlgebraMediumGraph of a line from its equation
Algebra practice question
The line y = −(1/2)x + 3 is graphed in the xy-plane. Which statement about the graph is true?
- A. It falls from left to right and crosses the y-axis at 3.Correct
- B. It rises from left to right and crosses the y-axis at 3.
- C. It falls from left to right and crosses the y-axis at −1/2.
- D. It falls from left to right and crosses the x-axis at 3.
Answer: A. It falls from left to right and crosses the y-axis at 3.
A negative slope falls from left to right; the constant 3 is the y-intercept.
Why the other answers are wrong
- B. It rises from left to right and crosses the y-axis at 3.
- A negative slope falls, not rises.
- C. It falls from left to right and crosses the y-axis at −1/2.
- −1/2 is the slope, not an intercept.
- D. It falls from left to right and crosses the x-axis at 3.
- The x-intercept is 6, not 3.
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